{"id":"https://openalex.org/W35240903","doi":"https://doi.org/10.1007/bfb0043396","title":"Two case-studies in parametric semi-infinite programming","display_name":"Two case-studies in parametric semi-infinite programming","publication_year":2006,"publication_date":"2006-02-06","ids":{"openalex":"https://openalex.org/W35240903","doi":"https://doi.org/10.1007/bfb0043396","mag":"35240903"},"language":"en","primary_location":{"id":"doi:10.1007/bfb0043396","doi":"https://doi.org/10.1007/bfb0043396","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bfb0043396","pdf_url":null,"source":{"id":"https://openalex.org/S4306463937","display_name":"Springer eBooks","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"ebook platform"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Control and Information Sciences","raw_type":"book-chapter"},"volume":{"id":"https://openalex.org/W2506311553","display_name":"Systems and Optimization"},"type":"book-chapter","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5049230523","display_name":"R. Hettich","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I89864525","display_name":"Universit\u00e4t Trier","ror":"https://ror.org/02778hg05","country_code":"DE","type":"education","lineage":["https://openalex.org/I89864525"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"R. Hettich","raw_affiliation_strings":["Universit\u00e4t Trier FB IV, Postfach 3825, 55-Trier, Germany","Universit\u00e4t Trier FB IV, 55-Trier, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universit\u00e4t Trier FB IV, Postfach 3825, 55-Trier, Germany","institution_ids":["https://openalex.org/I89864525"]},{"raw_affiliation_string":"Universit\u00e4t Trier FB IV, 55-Trier, Germany","institution_ids":["https://openalex.org/I89864525"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5088406559","display_name":"Peter Zencke","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"P. Zencke","raw_affiliation_strings":["Goethestr. 27, 6901, Dossenheim, Germany","Dossenheim, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Goethestr. 27, 6901, Dossenheim, Germany","institution_ids":[]},{"raw_affiliation_string":"Dossenheim, Germany","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.01692308,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"132","last_page":"155"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.8866999745368958,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.8866999745368958,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.023399999365210533,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11191","display_name":"Mathematical functions and polynomials","score":0.017500000074505806,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/eigenvalue-approximation","display_name":"eigenvalue approximation","score":0.8370000123977661},{"id":"https://openalex.org/keywords/eigenfunctions","display_name":"eigenfunctions","score":0.6919999718666077},{"id":"https://openalex.org/keywords/homogeneous-membranes","display_name":"homogeneous membranes","score":0.9169999957084656},{"id":"https://openalex.org/keywords/uniform-approximation","display_name":"uniform approximation","score":0.968999981880188},{"id":"https://openalex.org/keywords/function-approximation","display_name":"function approximation","score":0.6039999723434448}],"concepts":[{"id":"https://openalex.org/C128803854","wikidata":"https://www.wikidata.org/wiki/Q1307821","display_name":"Eigenfunction","level":3,"score":0.7961556911468506},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.6681581139564514},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6437720656394958},{"id":"https://openalex.org/C129785596","wikidata":"https://www.wikidata.org/wiki/Q619511","display_name":"Chebyshev polynomials","level":2,"score":0.6174970865249634},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.5447718501091003},{"id":"https://openalex.org/C66882249","wikidata":"https://www.wikidata.org/wiki/Q169336","display_name":"Homogeneous","level":2,"score":0.5357600450515747},{"id":"https://openalex.org/C21424316","wikidata":"https://www.wikidata.org/wiki/Q718621","display_name":"Chebyshev filter","level":2,"score":0.5220908522605896},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.494412899017334},{"id":"https://openalex.org/C75190567","wikidata":"https://www.wikidata.org/wiki/Q41237","display_name":"Rational function","level":2,"score":0.4867522716522217},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.471851110458374},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.43120521306991577},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.41317906975746155},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3514784574508667},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.10757419466972351},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09527060389518738},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.050314635038375854},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/bfb0043396","doi":"https://doi.org/10.1007/bfb0043396","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bfb0043396","pdf_url":null,"source":{"id":"https://openalex.org/S4306463937","display_name":"Springer eBooks","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"ebook platform"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Control and Information Sciences","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W625599071","https://openalex.org/W1497154413","https://openalex.org/W1580929723","https://openalex.org/W1973994903","https://openalex.org/W1981482176","https://openalex.org/W1996729064","https://openalex.org/W2015557869","https://openalex.org/W2031219349","https://openalex.org/W2061953601","https://openalex.org/W2076928880","https://openalex.org/W4232444274","https://openalex.org/W4256627105"],"related_works":["https://openalex.org/W192807422","https://openalex.org/W2474463944","https://openalex.org/W2034118363","https://openalex.org/W974427740","https://openalex.org/W24883618","https://openalex.org/W2011186075","https://openalex.org/W2038587352","https://openalex.org/W609623513","https://openalex.org/W7004983107","https://openalex.org/W2586096331"],"abstract_inverted_index":null,"counts_by_year":[{"year":2017,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-10-10T09:11:00.788812","created_date":"2016-06-24T00:00:00"}